Skip to main content

Advertisement

Log in

Novel Grain and Form Roughness Estimator Scheme Incorporating Artificial Intelligence Models

  • Published:
Water Resources Management Aims and scope Submit manuscript

Abstract

Determination of flow resistance in open channel flows is not only important for practical engineering applications but also challenging because of multiple factors involved. The literature review reveals that despite of various data-driven formulas and schemes, only classic Manning’s resistance equation and Keulegan’s formula have been utilized in practice. It also indicates that sole application of Artificial Intelligence (AI) models facilitates roughness estimation while they have not been used within a systematic roughness estimator scheme. In this study, a new eight-step scheme is developed to predict grain and total Manning’s coefficients when grain and form roughness are the major sources of friction, respectively. The new scheme not only uses a new explicit equation for computing hydraulic radius related to bed for estimating grain roughness coefficient but also utilizes AI models named artificial neural network and genetic programming in the seventh step for estimating form roughness coefficient. It improves R2 for estimating Manning’s grain coefficient and RMSE for estimating discharge by 21% and 64% comparing with that of one of common formulas available in the literature, respectively. Moreover, the new scheme incorporating AI models significantly enhances the accuracy of estimation results for predicting roughness coefficient and discharge comparing with the new scheme using new developed empirical formula based on RMSE, MARE and R2 criteria. The obtained improvement demonstrates that application of AI models as a part of a data-based roughness estimator scheme, like the one suggested, may considerably improve the precision of prediction results of flow resistance and discharge.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  • Alizadeh MJ, Shahheydari H, Kavianpour MR, Shamloo H, Barati R (2017) Prediction of longitudinal dispersion coefficient in natural rivers using a cluster-based Bayesian network. Environ Earth Sci 76(2):86

    Article  Google Scholar 

  • Azamathulla HM (2013) Gene-expression programming to predict friction factor for southern Italian rivers. Neural Comput Applic 23(5):1421–1426

    Article  Google Scholar 

  • Azamathulla HM, Ghani AA (2010) Genetic programming to predict river pipeline scour. J Pipeline Syst Eng Pract 1(3):127–132

    Article  Google Scholar 

  • Azamathulla HM, Ghani AA (2011) Genetic programming for predicting longitudinal dispersion coefficients in streams. Water Resour Manag 25(6):1537–1544

    Article  Google Scholar 

  • Barati R, Neyshabouri SAAS, Ahmadi G (2014) Development of empirical models with high accuracy for estimation of drag coefficient of flow around a smooth sphere: an evolutionary approach. Powder Technol 257:11–19

    Article  Google Scholar 

  • Brownlie WR (1981) Prediction of flow depth and sediment discharge in open channels, report no. KH-R-43A. W.M.Kech Laboratory of Hydraulics and Water Resources. California institute of Technology, 1–232

  • Einstein HA, Barbarossa N (1952) River channel roughness. Trans ASCE 117:1121–1146

    Google Scholar 

  • Engelund F, Hansen E (1967) A monograph on sediment transport in alluvial streams. Teknisk Vorlag, Copenhagen, Denmark

    Google Scholar 

  • Ferguson R (2010) Time to abandon the Manning equation? Earth Surf Proc Land 35:1873–1876

  • Ferguson R (2013) Reach-scale flow resistance, In: Shroder, J. (Editor in Chief), Wohl, E. (Ed.), Treatise on geomorphology. Academic Press, San Diego, CA, vol. 9, Fluvial Geomorphology, 50–68

  • Francone FD (1998) Discipulus owner’s manual. Machine Learning Technologies, Inc, Littleton, Colorado

    Google Scholar 

  • Garcia MH (2008) Sediment engineering: processes, management, modelling and practice. American Society of Civil Engineers, New York, USA

    Book  Google Scholar 

  • Ghani AA, Zakaria NA, Kiat CC, Ariffin J, Hasan ZA, Abdul Ghaffar AB (2007) Revised equations for Manning's coefficient for sand-bed Rivers. Int J River Basin Manag 5(4):329–346

    Article  Google Scholar 

  • Hager WH, Giudice GD (2001) Discussion of “movable bed roughness in alluvial rivers”. J Hydraul Eng ASCE 127(7):627–628

    Article  Google Scholar 

  • Haghiabi AH (2016) Prediction of river pipeline scour depth using multivariate adaptive regression splines. J Pipeline Syst Eng Pract 8(1):04016015

    Article  Google Scholar 

  • Hosseini K, Nodoushan EJ, Barati R, Shahheydari H (2016) Optimal design of labyrinth spillways using meta-heuristic algorithms. KSCE J Civ Eng 20(1):468–477

    Article  Google Scholar 

  • Izadifar Z, Elshorbagy A (2010) Prediction of hourly actual evapotranspiration using neural network, genetic programming, and statistical models. Hydrol Process 24(23):3413–3425

    Article  Google Scholar 

  • Karim F (1995) Bed configuration and hydraulic resistance in alluvial-channel flows. J Hydraul Eng ASCE 121(1):15–25

    Article  Google Scholar 

  • Kitsikoudis V, Sidiropoulos E, Iliadis L, Hrissanthou V (2015) A machine learning approach for the mean flow velocity prediction in alluvial channels. Water Resour Manag 29(12):4379–4395

    Article  Google Scholar 

  • Kumar B, Bhatla A (2010) Genetic algorithm optimized neural network prediction of friction factor in a mobile bed channel. J Intell Syst 19(4):315–336

    Google Scholar 

  • Kumar B, Rao AR (2010) Metamodeling approach to predict friction factor of alluvial channel. Comput Electron Agric 70(1):144–150

    Article  Google Scholar 

  • Lopez R, Barragan J, Angels Colomar M (2007) Flow resistance equations without explicit estimation of the resistance coefficient for coarse-grained rivers. J Hydrol 33(8):113–121

    Article  Google Scholar 

  • McKay SK, Fischenich JC (2011) Robust prediction of hydraulic roughness, ERDC/CHL CHETN-VII-11. U.S. Army Engineer Research and Development Center, Vicksburg, Mississippi

    Google Scholar 

  • Millar RG (1999) Grain and form resistance in gravel-bed rivers. J Hydraul Res 37:303–312

    Article  Google Scholar 

  • Motamedi A, Afzalimehr H, Singh VP (2009) Estimation of friction factor in open channels. J Hydrol Eng 15(3):249–254

    Article  Google Scholar 

  • Niazkar M, Afzali SH (2015) Optimum Design of Lined Channel Sections. Water Resour Manag 2(6):1921–1932

    Article  Google Scholar 

  • Niazkar M, Afzali SH (2016) Application of new hybrid optimization technique for parameter estimation of new improved version of Muskingum model. Water Resour Manag 30(13):4713–4730

    Article  Google Scholar 

  • Niazkar M, Afzali SH (2018) Developing a new accuracy-improved model for estimating scour depth around piers using a hybrid method. Iran J Sci Technol Trans Civil Eng. https://doi.org/10.1007/s40996-018-0129-9

  • Rabunal JR, Puertas J, Suarez J, Rivero D (2007) Determination of the unit hydrograph of a typical urban basin genetic programming and artificial neural networks. Hydrol Process 21(4):476–485

    Article  Google Scholar 

  • Recking A (2006) An experimental study of grain sorting effects on bedload, In Report no. 2006-ISAL-00113. Institut National des Sciences Appliquées de Lyon France

  • Recking A, Frey P, Paquier A, Belleudy P, Champagne JY (2008) Feedback between bed load transport and flow resistance in gravel and cobble bed rivers. Water Resour Res 44(5):W05412

    Article  Google Scholar 

  • Rickenmann D, Recking A (2011) Evaluation of flow resistance in gravel-bed rivers through a large field data set. Water Resour Res 47(7):W07538

    Article  Google Scholar 

  • Sivapragasam C, Maheswaran R, Venkatesh V (2008) Genetic programming approach for flood routing in natural channels. Hydrol Process 22(5):623–628

    Article  Google Scholar 

  • van Rijn LC (1984) Sediment transport. Part III: bed forms and alluvial roughness. J Hydraul Eng ASCE 110(12):1733–1754

    Article  Google Scholar 

  • Vanoni VA, Brooks NH (1957) Laboratory studies of the roughness and suspended load of alluvial streams sedimentation laboratory, California Institute of Technology, Pasadena, California, report no. e-68

  • Wu W, Wang SS (1999a) Movable bed roughness in alluvial rivers. J Hydraul Eng ASCE 125(12):1309–1312

    Article  Google Scholar 

  • Wu W, Wang SS (1999b) Closure to “movable bed roughness in alluvial rivers”. J Hydraul Eng ASCE 127(7):628–629

    Article  Google Scholar 

  • Yang CT (2003) Sediment transport: theory and practice, original edition McGraw-hill, reprint edition by Krieger publication company, Malabar, FL

  • Yang S-Q, Tan S-K, Lim S-Y (2005) Flow resistance and bed form geometry in a wide alluvial channel. Water Resour Res 41:W09419

    Google Scholar 

  • Yazdani MR, Zolfaghari AA (2017) Monthly River forecasting using instance-based learning methods and climatic parameters. J Hydrol Eng 22(6):04017002

    Article  Google Scholar 

  • Yen BC (2002) Open channel flow resistance. J Hydraul Eng ASCE 128(1):20–39

    Article  Google Scholar 

  • Yu G, Lim SY (2003) Modified manning formula for flow in alluvial channels with sand-beds. J Hydraul Res 41(6):597–608

    Article  Google Scholar 

  • Yuhong Z, Wenxin H (2009) Application of artificial neural network to predict the friction factor of open channel flow. Commun Nonlinear Sci Numer Simul 14:2373–2378

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Majid Niazkar.

Ethics declarations

Conflict of Interest

None.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Electronic supplementary material

ESM 1

(DOCX 462 kb)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Niazkar, M., Talebbeydokhti, N. & Afzali, S.H. Novel Grain and Form Roughness Estimator Scheme Incorporating Artificial Intelligence Models. Water Resour Manage 33, 757–773 (2019). https://doi.org/10.1007/s11269-018-2141-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11269-018-2141-z

Keywords

Navigation